45953280 has 108 divisors (see below), whose sum is σ = 159033420. Its totient is φ = 12251136.

The previous prime is 45953269. The next prime is 45953293. The reversal of 45953280 is 8235954.

45953280 is a `hidden beast` number, since 45 + 9 + 532 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 26873856 = 4368^2 + 5184^2 .

It is a super-2 number, since 2×45953280² = 4223407885516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9526 + ... + 13514.

Almost surely, 2^45953280 is an apocalyptic number.

45953280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79516710).

45953280 is an abundant number, since it is smaller than the sum of its proper divisors (113080140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45953280 is a wasteful number, since it uses less digits than its factorization.

45953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45953280 is about 6778.8848640466. The cubic root of 45953280 is about 358.1834416654.

It can be divided in two parts, 4595 and 3280, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 45953280 in words is "forty-five million, nine hundred fifty-three thousand, two hundred eighty".